Which of the following schemes will yield minimum discount?
2 successive discounts of 5% and 5%

Single discount of 10%

2 successive discounts of 8% and 2%

Let's find the effective single discount for each scheme using the successive discount formula: x+y−
100
xy
​


Scheme 1: Successive discounts of 5% and 5%

Effective Discount=5+5−
100
5×5
​
=10−0.25=9.75%
Scheme 2: Single discount of 10%

Effective Discount=10%
Scheme 3: Successive discounts of 8% and 2%

Effective Discount=8+2−
100
8×2
​
=10−0.16=9.84%
Comparing the effective discounts:

9.75%<9.84%<10%
Therefore, Scheme 1 yields the minimum discount (9.75%).